It's likely that the interest rates are annual rates. Here are some hints.
Let the amount invested in the three-year CD be $x$. Then the interest earned over three years is $(3)(0.044)x$ ($3$ years, times $4.4\% = 0.044$ per year, times the amount invested).
- If the $18$-month CD had $\$2,000$ less invested, how would you express this in terms of $x$?
- What would be the interest earned on this CD (following the same idea as for the first CD)?
- What is the equation that links the two amounts of interest? (Hint: They add up to $\$706.50$.)
This will allow you to solve for $x$ (the first amount), and then the second amount which is related to $x$.
More explicit hints:
This is the equation to solve for $x$: $(3)(0.044)x + (1.5)(0.03)(x-2000) = 706.50$. Then $x$ and $x-2000$ are the two CD amounts.